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Finding the Fourth Proportional to 149,642.47, 224,463.93 and 119,846.17

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Solution

The fourth proportional to 149,642.47, 224,463.93 and 119,846.17 is: 179,769.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,642.47 : 224,463.93 = 119,846.17 : x
  2. Step 2: Convert to fraction form
    149,642.47/224,463.93 = 119,846.17/x
  3. Step 3: Cross multiply
    149,642.47x = 224,463.93 × 119,846.17
  4. Step 4: Simplify right side
    149,642.47x = 26,901,142,313.65
  5. Step 5: Solve for x
    x = 26,901,142,313.65/149,642.47
  6. Step 6: Final answer
    x = 179,769.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.